Preheat oven to 400°F (200°C) and line a large baking sheet with parchment paper.
Unfold the thawed puff pastry sheet on a lightly floured surface and roll gently with a rolling pin to a 10x12 inch rectangle.
Brush the entire surface of the pastry with the extra-virgin olive oil.
Sprinkle the za'atar spice blend evenly over the oiled surface.
Fold the pastry sheet in half to enclose the filling, creating a 5x12 inch rectangle.
Using a pizza cutter or sharp knife, cut the pastry into 1-inch wide strips.
Grip each end of a strip and twist in opposite directions to create a spiral shape.
Place the twists on the prepared baking sheet, spacing them 1 inch apart.
Whisk the egg and water together in a small bowl and brush the mixture over the twists.
Bake for 12 to 15 minutes or until the pastry is golden brown and crisp.
Remove from the oven and allow to cool on a wire rack for 5 minutes before serving.